1224313344 has 120 divisors (see below), whose sum is σ = 3741540660. Its totient is φ = 384073728.

The previous prime is 1224313333. The next prime is 1224313369. The reversal of 1224313344 is 4433134221.

1224313344 is a `hidden beast` number, since 1 + 2 + 2 + 4 + 313 + 344 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 917362944 + 306950400 = 30288^2 + 17520^2 .

It is a nude number because it is divisible by every one of its digits.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 70522 + ... + 86150.

Almost surely, 2^1224313344 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1224313344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1870770330).

1224313344 is an abundant number, since it is smaller than the sum of its proper divisors (2517227316).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

1224313344 is a wasteful number, since it uses less digits than its factorization.

1224313344 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15670 (or 15651 counting only the distinct ones).

The product of its digits is 6912, while the sum is 27.

The square root of 1224313344 is about 34990.1892535608. The cubic root of 1224313344 is about 1069.7875212062.

Adding to 1224313344 its reverse (4433134221), we get a palindrome (5657447565).

It can be divided in two parts, 1224 and 313344, that multiplied together give a square (383533056 = 19584²).

The spelling of 1224313344 in words is "one billion, two hundred twenty-four million, three hundred thirteen thousand, three hundred forty-four".